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Finding the Fourth Proportional to 164,764.64, 227,372.82 and 93,142.28

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Solution

The fourth proportional to 164,764.64, 227,372.82 and 93,142.28 is: 128,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,764.64 : 227,372.82 = 93,142.28 : x
  2. Step 2: Convert to fraction form
    164,764.64/227,372.82 = 93,142.28/x
  3. Step 3: Cross multiply
    164,764.64x = 227,372.82 × 93,142.28
  4. Step 4: Simplify right side
    164,764.64x = 21,178,022,864.83
  5. Step 5: Solve for x
    x = 21,178,022,864.83/164,764.64
  6. Step 6: Final answer
    x = 128,535.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.